A Stability and Accuracy Validation Method for Multirate Digital Simulation
Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
This paper presents a new validation method to demonstrate the stability and accuracy of a discretized system by using multiple sampling rates. Such multirate simulations are often encountered in real-time simulation application, where large power systems are coupled with circuit containing power electronics devices. Multirate simulation should not be confused with variable-step simulation, which is a single-rate simulation type. In single-rate simulation, the discretized system is stable when its discrete poles are within the unitary circle. When using multirate solvers, state variables are discretized with different sampling rates and poles location analysis for the system's equations cannot be used. This paper introduces a formal mathematical analysis demonstrating stability of multirate real-time simulation. System state variables, regardless of their discretization time step, are found in a single matrix. Classical pole analyses are thereafter used to test stability with poles location analysis. The method is given in a generalized form, and can be applied to various multirate solvers. The proposed method was found accurate and reliable using numerical examples.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it